11HAAN TAPAN SEE #12
Wat is the basic condition for two curves to be orthogonal ??
I know they need to intersect at 90° but wat abt the CASE WER the two CURVES INTERSECT EACH OTHER MORE THAN ONCE ???
eg. x2 = y and y2 = x
are these said to be orhtogonal ???
-
UP 0 DOWN 0 0 33
33 Answers
11ACCHA HAS LO GARIB PAR
MATRIX KI BAHUT YAAD AA RAHI HAI KYA ?[7][7][7]
[50][50][50][50][50][50]
21REQUEST : CAN V PL. HAV SINCERE MATHS - BASED DISCUSSION HERE!!!!!
62I dont know what the definiton for orthogonality of 2 curves is
but i think orthogonality of two curves is usually talked at the point of intersection...
Here the answer will depend on the point where we are analysing
11SIR BUT ITS THERE IN THE NCERT (AS FAR AS I REMEMBER )
THAT 2 CURVES R ORTHOGONAL WHEN THEIR TANGENTS ARE ORTHOGONAL[1]
21Okie!! so it is orthogonal at origin, but non-ortho at x = 1 = y.......
[12]
11DRAW THE TANGENTS FROM THE RESPECTIVE POINTS
THE BASIC CONDITION IS IF 2 CURVES R ORTHOGONAL THEN THEIR TANGENTS R ALSO ORTOGONAL!!!!!
11MATLAB TUNNE NAHIN LIYA RISK
AGGAR NAHIN LIYA TO MAIN APNE ANSWERS KE SAATH HAMESHA AISA HI LIKHOONGA
MOST OF MY ANSWER R RONG[2][2][17]
1OYE MAIN WAHI LIKHI :p
neways .. tumhara read at your own risk dekhke yaad aya mereko......
age se aisa kahi bhi likha ho ... toh risk mat liyo!
11ABD @SKY HAVE A LOOK AT THIS 1
http://targetiit.com/iit_jee_forum/posts/doubt_in_perpendicular_condition_139.html
11yes they must be orthogonal curves
READ AT UR OWN RISK
jaise ek chori inssan ko chor bana deti hai
waise hi ek baar orthogonally katne waale curves unko orthogonal bana dete hain[3]
11chalo chodo usse
ab tu bata r u done with this or u need somethinh else[7][7][7]
11sky then wat about m1m2 =-1
????????????????????????????????????????????????/
21oh k!! thats fair enuf.........
now if u know tell me wether this is a pair of orthogoanl curves or NOT??????
COZ at One of the 2 pts. of Intersectn The tangents are at 90° at other THEY R NOT.........
1m1=0 , m2 =∞
m1=-1/m2 = -1/∞ =0 satisfies... [i dunno if its a rather weird explanation!]